Properties of Systems - Signals & Systems MCQs 

"Properties of Systems - Signals & Systems MCQs" is a valuable resource for mastering the essential properties of systems in the study of signals and systems. This collection of multiple-choice questions focuses on key concepts such as linearity, time-invariance, causality, stability, and memory. Ideal for students, engineers, and professionals, these MCQs help reinforce your understanding of system behavior and analysis. Whether you're preparing for exams or enhancing your knowledge in signal processing, control systems, or digital systems, this MCQ set provides the perfect practice to excel in understanding system properties and their applications.

1.The impulse response of a continuous time LTI system is H (t) = e-t u (t-2). The system is _________
a) Causal and stable
b) Causal but not stable
c) Stable but not causal
d) Neither causal nor stable

Answer: a


2.The impulse response of a continuous time LTI system is H (t) = e-|t|. The system is ___________
a) Causal and stable
b) Causal but not stable
c) Stable but not causal
d) Neither causal nor stable

Answer: c


                        

3.For the system, y (t) = |x (t)|, which of the following holds true?
a) System is Linear, time-invariant, causal and stable
b) System is Linear, time-invariant and causal
c) System is Linear, time-invariant and stable
d) System is Linear, causal and stable

Answer: c

4.For the system, y (t) = |x (t)|, which of the following holds true?
a) System is Linear, time-invariant, causal and stable
b) System is Linear, time-invariant and causal
c) System is Linear, time-invariant and stable
d) System is Linear, causal and stable

Answer: c

5.For the system, y (t) = cos 2πt x (t), which of the following holds true?
a) System is Linear, time-invariant, causal and stable
b) System is time-invariant, causal and stable
c) System is Linear, causal and stable
d) System is Linear, time-invariant and stable

Answer: c


6.For the system, y (t) = x (t-5) – x (3-t) which of the following holds true?
a) System is Linear, time-invariant, causal and stable
b) System is time-invariant, causal and stable
c) System is Linear, time-invariant and stable
d) System is Linear, time-invariant and causal

Answer: c

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7.For the system, y (t) = u{x (t)} which of the following holds true?
a) System is Linear, time-invariant, causal and stable
b) System is time-invariant, causal and stable
c) System is causal and stable
d) System is stable

Answer: b


8.For the system y (t) = x2(t), which of the following holds true?
a) Invertible
b) Non-Invertible
c) Invertible as well as Non-Invertible in its respective domains
d) Cannot be determined

Answer: b

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